



'''simple docstring'''

import sys






def 				a  (     UpperCamelCase_    :    str			)       ->	Any:
		snake_case__	     =len(UpperCamelCase_			)
		snake_case__	     =[[0 for x in range(UpperCamelCase_			)] for x in range(UpperCamelCase_			)]
		snake_case__	     =[[0 for x in range(UpperCamelCase_			)] for x in range(UpperCamelCase_			)]

		for chain_length in range(2      ,					UpperCamelCase_			):
				for a in range(1      ,					n - chain_length + 1			):
						snake_case__	     =a + chain_length - 1

						snake_case__	     =sys.maxsize
						for c in range(UpperCamelCase_      ,					UpperCamelCase_			):
								snake_case__	     =(
								    matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
								)
								if cost < matrix[a][b]:
										snake_case__	     =cost
										snake_case__	     =c
		return matrix, sol






def 				a  (     UpperCamelCase_    :    List[str]      ,					UpperCamelCase_    :    str      ,					UpperCamelCase_    :    Optional[Any]			)       ->	Tuple:
		if i == j:
				print('A' + str(UpperCamelCase_			)      ,					end=' '			)
		else:
				print('('      ,					end=' '			)
				print_optiomal_solution(UpperCamelCase_      ,					UpperCamelCase_      ,					optimal_solution[i][j]			)
				print_optiomal_solution(UpperCamelCase_      ,					optimal_solution[i][j] + 1      ,					UpperCamelCase_			)
				print(')'      ,					end=' '			)






def 				a  (     )       ->	Dict:
		snake_case__	     =[30, 35, 15, 5, 10, 20, 25]
		snake_case__	     =len(UpperCamelCase_			)
		# Size of matrix created from above array will be
		# 30*35 35*15 15*5 5*10 10*20 20*25
		snake_case__     ,	snake_case__	     =matrix_chain_order(UpperCamelCase_			)

		print('No. of Operation required: ' + str(matrix[1][n - 1]			)			)
		print_optiomal_solution(UpperCamelCase_      ,					1      ,					n - 1			)


if __name__ == "__main__":
			main()









'''simple docstring'''

from typing import TYPE_CHECKING

from ....utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


SCREAMING_SNAKE_CASE__     :						Tuple	=  {'''configuration_van''': ['''VAN_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''VanConfig''']}


try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			SCREAMING_SNAKE_CASE__     :						List[str]	=  [
			    '''VAN_PRETRAINED_MODEL_ARCHIVE_LIST''',
			    '''VanForImageClassification''',
			    '''VanModel''',
			    '''VanPreTrainedModel''',
			]

if TYPE_CHECKING:
			from .configuration_van import VAN_PRETRAINED_CONFIG_ARCHIVE_MAP, VanConfig

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_van import (
						    VAN_PRETRAINED_MODEL_ARCHIVE_LIST,
						    VanForImageClassification,
						    VanModel,
						    VanPreTrainedModel,
						)

else:
			import sys

			SCREAMING_SNAKE_CASE__     :						Dict	=  _LazyModule(__name__, globals()['''__file__'''], _import_structure)




